What is 2i(1-2i)(2i-4) ?

The solution to 2i(1-2i)(2i-4) is -20

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simplify 2i(1-2i)(2i-4)

simplify

2 i (1 - 2 i) (2 i - 4)

- 20

Solution steps

2 i (1 - 2 i) (2 i - 4)

Rewrite

2 i - 4

in standard complex form:

- 4 + 2 i

= 2 i (1 - 2 i) (- 4 + 2 i)

Apply complex arithmetic rule:

(a + bi) (c + d i) = (a c - b d) + (a d + b c) i

= 2 i ((1 \cdot (- 4) - (- 2) \cdot 2) + (1 \cdot 2 - 2 (- 4)) i)

Simplify

(1 \cdot (- 4) - (- 2) \cdot 2) + (1 \cdot 2 - 2 (- 4)) i : 10 i

= 2 i 10 i

Simplify

2 i 10 i : - 20

= - 20

\frac{8 x ^{2}}{9} \cdot \frac{9}{2}

\frac{5}{45}

- x^{2} - y^{2}